1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Likurg_2 [28]
2 years ago
13

A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distr

ibution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week
Mathematics
1 answer:
lara31 [8.8K]2 years ago
3 0

Answer:

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.

This means that \mu = 112, \sigma = 12

What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?

This is the p-value of Z when X = 90. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{90 - 112}{12}

Z = -1.83

Z = -1.83 has a p-value of 0.0336

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

You might be interested in
Look at the figure shown below:
miv72 [106K]

The answer is C. Using ASA postulate, prove that triangles PQS and PRS are similar triangles

7 0
2 years ago
Read 2 more answers
PLEASE HELP I DON’T HAVE MUCH TIME LEFT TO TURN THIS IN AHHH HELP MEEEEEE
Nookie1986 [14]

Answer: 1 goes to 3, 2 goes to 1, 3 goes to 2, and 4 goes to 4

Step-by-step explanation:

5 0
3 years ago
A distribution is positively skewed if which of these statements is true about the density curve that represents it?
UkoKoshka [18]
<span>The right tail is longer than the left.</span>
8 0
3 years ago
Read 2 more answers
2 by 5 into bracket minus 3 by 7 minus 1 by 6 into 3 by 2 + 1 by 4 into 2 by 5??​
Liula [17]

Answer:

(2*5) 3*7-1*6÷3*2+1*4÷2*5=216

4 0
2 years ago
Read 2 more answers
Can someone plz help me on this plz I beg u
AfilCa [17]

Answer:

8

Step-by-step explanation:

So, lets go over a few things:

First off, all triangles have a total angle of 180 degrees.

Secondly, we know that the first two angles are 57 and 51.

Thirdly, we know that the missing angle is 9x

To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.

So, add together the two angles we know:

57+51

=

108

So we know 108 degrees of our triangle. We must find whats left of the 180.

To do this, subtract 108 from 180:

180-108

=

72

So our remaining angle is 72 degrres.

But recall that x isnt the misisng angle, 9x is.

So, to get x on its own, we must divide both the missing angle and 9x by 9:

72=9x

---  ---

9   9

=

8=1x

So now we know that x equals 8.

I hope this helps! :)

8 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose Sam gets 30 mpg on average. If he drives about 14,000 miles each
    12·2 answers
  • PLZ HELP ME ASAP.. Which is the correct algebraic expression after combining like terms?
    9·1 answer
  • Help me plzzxxxxxxxi ff
    6·2 answers
  • The wholesale price of a TV is 55% less than the retail price. Therefore, the wholesale price is _____ times the retail price.
    7·2 answers
  • A batch of one hundred cars is inspected by testing four randomly selected cars. If one of the four is defective, the batch is r
    8·1 answer
  • What is true regarding the graphed function f(x)
    7·1 answer
  • A box contains six white balls, eight black balls, and five red balls. How many red balls must be added to the box to the probab
    14·1 answer
  • Kylie needs to build a fence around his square shaped backyard each side measures 90 1/4 feet the materials for the fence cost $
    6·1 answer
  • Find the measure of angle DFC​
    5·2 answers
  • GUYS I AM ON THE VERGE OF TEARS I HATE MATH SO MUCH CAN SOMEONE PLS HELP WITH PART B ON THIS GRAPH
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!